Quantcast

Got Homework?

Connect with other students for help. It's a free community.

  • across
    MIT Grad Student
    Online now
  • laura*
    Helped 1,000 students
    Online now
  • Hero
    College Math Guru
    Online now

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

moongazer

If tan (theta) =5/4 and cos (theta) < 0 . Find the other trig. functions. Could someone check my answers?

  • one year ago
  • one year ago

  • This Question is Closed
  1. moongazer
    Best Response
    You've already chosen the best response.
    Medals 1

    am I right that theta is in quadrant 3 ?

    • one year ago
  2. Silent_Sorrow
    Best Response
    You've already chosen the best response.
    Medals 0

    Yup, so Sin (theta) < 0 as well

    • one year ago
  3. moongazer
    Best Response
    You've already chosen the best response.
    Medals 1

    Could you show your answers so that I can check my answers?

    • one year ago
  4. waterineyes
    Best Response
    You've already chosen the best response.
    Medals 0

    No.. you should give your answers so that we can check.. Go ahead..

    • one year ago
  5. moongazer
    Best Response
    You've already chosen the best response.
    Medals 1

    ok

    • one year ago
  6. moongazer
    Best Response
    You've already chosen the best response.
    Medals 1

    \[\sin \theta =(-5\sqrt{41})/41\] \[\cos \theta = (-4\sqrt{41})/41\] \[\tan \theta = 5/4\] \[\csc \theta = -\sqrt{41}/5\] \[\sec \theta =-\sqrt{41}/4\] \[\cot \theta = 4/5\]

    • one year ago
  7. moongazer
    Best Response
    You've already chosen the best response.
    Medals 1

    Am I correct?

    • one year ago
  8. Silent_Sorrow
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1341743660142:dw| Just remember "All Science Teachers Crazy" so in the first quad all trig functions are positive, in the 2nd all Sine functions are positive, in the 3rd all Tangent functions are positive so in the 4th all Cosine functions are positive.

    • one year ago
  9. moongazer
    Best Response
    You've already chosen the best response.
    Medals 1

    Are all my answers correct?

    • one year ago
  10. moongazer
    Best Response
    You've already chosen the best response.
    Medals 1

    Could someone check it?

    • one year ago
  11. moongazer
    Best Response
    You've already chosen the best response.
    Medals 1

    @mathslover Are my answers correct?

    • one year ago
  12. mathslover
    Best Response
    You've already chosen the best response.
    Medals 0

    when cos theta is negative then theta lies in 2nd quadrant ..

    • one year ago
  13. moongazer
    Best Response
    You've already chosen the best response.
    Medals 1

    @mathslover why?

    • one year ago
  14. mathslover
    Best Response
    You've already chosen the best response.
    Medals 0

    please wait

    • one year ago
  15. moongazer
    Best Response
    You've already chosen the best response.
    Medals 1

    ok thanks :)

    • one year ago
  16. mathslover
    Best Response
    You've already chosen the best response.
    Medals 0

    Remember this :Quadrant 1: Cosine is positive and Sine is positive. (x > 0 ; y > 0) just as ( cos(theta) > 0 ; sin(theta) > 0) Quadrant 2: Cosine is negative and Sine is positive. (x < 0; y > 0) just as ( cos(theta) < 0 ; sin(theta) > 0) Quadrant 3: Cosine is negative and Sine is negative. (x < 0 ; y < 0) just as ( cos(theta) < 0 ; sin(theta)< 0) Quadrant 4: Cosine is positive and Sine is negative. ( x > 0 ; y < 0 ) just as ( cos(theta) > 0 ; sin(theta) < 0)

    • one year ago
  17. mathslover
    Best Response
    You've already chosen the best response.
    Medals 0

    @moongazer

    • one year ago
  18. moongazer
    Best Response
    You've already chosen the best response.
    Medals 1

    I am here

    • one year ago
  19. mathslover
    Best Response
    You've already chosen the best response.
    Medals 0

    So did u get that quadrant 2 : cos theta is negative ?

    • one year ago
  20. moongazer
    Best Response
    You've already chosen the best response.
    Medals 1

    i'm still reading it :)

    • one year ago
  21. mathslover
    Best Response
    You've already chosen the best response.
    Medals 0

    Take ur time

    • one year ago
  22. moongazer
    Best Response
    You've already chosen the best response.
    Medals 1

    But in quadrant 3 cos theta is also negative so why I can't choose it as the location of theta?

    • one year ago
  23. moongazer
    Best Response
    You've already chosen the best response.
    Medals 1

    isn't it that tan theta is positive in quadrant 3 and according to the given tan theta is positive. So choosing that theta is in quadrant 3 is better?

    • one year ago
  24. mathslover
    Best Response
    You've already chosen the best response.
    Medals 0

    oh yes u r also right but i am not perfect in this topic may be @lalaly do it for u

    • one year ago
  25. moongazer
    Best Response
    You've already chosen the best response.
    Medals 1

    @lalaly My answers are correct right?

    • one year ago
  26. lalaly
    Best Response
    You've already chosen the best response.
    Medals 1

    u can describe this as a right triangle \[\tan (\theta)=\frac{opposite}{adjacent}=\frac{5}{4}\]so from this u know that opposite=5 and adjacent =4 |dw:1341746704835:dw|

    • one year ago
  27. lalaly
    Best Response
    You've already chosen the best response.
    Medals 1

    now use those values to find the ratios for the other trig functions

    • one year ago
  28. moongazer
    Best Response
    You've already chosen the best response.
    Medals 1

    But isn't it I can also view as|dw:1341747710304:dw|

    • one year ago
  29. moongazer
    Best Response
    You've already chosen the best response.
    Medals 1

    Are my answers right or wrong?

    • one year ago
  30. ash2326
    Best Response
    You've already chosen the best response.
    Medals 1

    @moongazer you are correct :D

    • one year ago
  31. moongazer
    Best Response
    You've already chosen the best response.
    Medals 1

    @ash2326 Thanks for that!

    • one year ago
  32. ash2326
    Best Response
    You've already chosen the best response.
    Medals 1

    you wanna see, the pic I made to check this?

    • one year ago
  33. moongazer
    Best Response
    You've already chosen the best response.
    Medals 1

    ok, let me see it :)

    • one year ago
  34. ash2326
    Best Response
    You've already chosen the best response.
    Medals 1

    here it is

    • one year ago
    1 Attachment
  35. moongazer
    Best Response
    You've already chosen the best response.
    Medals 1

    That is also what I am thinking :)

    • one year ago
  36. ash2326
    Best Response
    You've already chosen the best response.
    Medals 1

    Yay:D

    • one year ago
    • Attachments:

See more questions >>>

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.